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Ne4ueva [31]
3 years ago
15

Maths assignment ( x+y,x-y)=(3,1)

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
7 0

Step-by-step explanation:

I hope this will help you

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The population of a certain species of bird in a region after t years can be modeled by the function P(t)= 1620/1+1.15e^-0.042t
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A

Step-by-step explanation:

The function is  \frac{1620}{1+1.15e^{-0.042t}}

To find the maximum population, we need to set t towards infinity to get our answer.

So, we replace time with maximum (\infty). Let's check:

\frac{1620}{1+1.15e^{-0.042t}}\\=\frac{1620}{1+\frac{1.15}{e^{0.042t}}}\\=\frac{1620}{1+\frac{1.15}{e^{0.042(\infty)}}}\\=\frac{1620}{1+\frac{1.15}{\infty}}\\=\frac{1620}{1+0}\\=\frac{1620}{1}\\=1620

The population of birds approaches 1620 as t goes towards infinity. So we can say the max population of the species is 1620.

Correct answer is A

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